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Q. The wheel of a car has a radius of 0.365 m. The engine of the car applies a torque of 284 N · m to this wheel, which does not slip against the road surface. Since the wheel does not slip, the road must be applying a force of static friction to the wheel that produces a countertorque. Moreover, the car has a constant velocity, so this countertorque balances the applied torque. What is the magnitude of the static frictional force?
Q. A 65 kg woman stands on the back of a 6.0 m long, 135 kg raft that is floating at rest in still water with no friction. The raft is 0.50 m from a fixed pier. The woman walks to the front of the raft and stops. How far is the raft from the pier now?
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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